Question

A carver begins work on the following block of granite that weighs 2700 g. what is the density of the granite? granite block dimensions length = 20 cm width = 5 cm height = 10 cm

Answer 1

The volume of the granite block is 1000 cm³, and its average density is 2.7 g/cm³, which is consistent with the typical density of granite.

Step-by-step explanation:

First, let's calculate the volume of the rock. The formula for volume is length × width × height. So, the volume (V) of the granite block is:

V = 20 cm × 5 cm × 10 cm = 1000 cm³

Next, we'll calculate the average density of the granite. Density (ρ) is mass (m) divided by volume (V), which we can write as ρ = m/V. Given that the mass of the granite is 2700 g, the density can be calculated as:

ρ = 2700 g / 1000 cm³ = 2.7 g/cm³

This is consistent with the typical density of granite, which is around 2.6 to 2.7 g/cm³.